Analine H.

asked • 12/07/15

Application of Rational Equations

The difference of a reciprocal of a number and 3/10 is 1/5. Find the number.

1 Expert Answer

By:

Andrew M. answered • 12/07/15

Tutor
New to Wyzant

Mathematics - Algebra a Specialty / F.I.T. Grad - B.S. w/Honors

Norbert J. M.

tutor
Order of wording IS important and needs to be interpreted
exactly as written. In the problem statement, "a number"
is first in the problem statement, and is placed as the first
term in the equation.  
 
The problem "(1/x)-10" has only one solution "x=2".  But,
as illustrated, notice how reversing the order of the equation 
produces a different answer.
 
 
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12/07/15

Andrew M.

Norbert,
I had this exact conversation on here before and my position was the one you just espoused.  Other tutors argued that both answers are valid.  My research is inconclusive.... But, as stated, I agree that the teacher expects the answer to be x=2.
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12/07/15

Andrew M.

the diference between 1 and 3...
1-3=-2
3-1=2
 
The distance, or absolute value, is the same and many argue that both are valid answers.  Take it fir what it's worth.
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12/07/15

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